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Statistics is a scientific approach to inductive inference and prediction based on probabilistic models of the data. By extension, it covers the design of experiments and surveys to gather data for this purpose.
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scipy fit for t distribution seems broken for bi-modal data
The t-test has many assumptions. That dataset violates several of them:
Data should be sufficiently large (>30 independent points)
Data should be approximately normally distributed
Given that the …
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How do you pool data cross subjects?
One approach is analysis of variance (ANOVA) which is a framework for analyzing mean differences while controlling for those effects. Typically a mixed-effect model is applied that handles experimenta …
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A/B testing with non-Gaussian distributions
One option is a permutation test. A permutation does not make any assumptions about the distribution of the data and allows for testing maximum change.
For a permutation test, you randomly assign da …
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Approaches to choosing number of bins in histogram
Another method is Bayesian Blocks from Studies in Astronomical Time Series Analysis. VI. Bayesian Block Representations by Scargle et al.
Bayesian Blocks is a dynamic histogramming method which optim …
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How to manage survivorship bias in conversion metrics?
One way to approach is the model conversion is survival analysis. In this case, time-to-event would be how many ads until they convert.
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Problem with Median Absolute Deviation
If 50% or more of the values in a sample are identical, you'll have to switch to alternative method from MAD or drop values.
"Alternatives to the Median Absolute Deviation" paper by Rousseeuw and Crou …
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How to compute the size of a significant sample for manual validation in classification?
The unlabeled data will have to be labeled to calculate accuracy. How much data to label is an empirical question.
Here are questions to answer to help guide that process:
How close is the distributi …
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How can I test the relationship between events and categorical data
One option is constructing a contingency table, aka crosstab, which displays the frequency distribution of categorical variables. From a contingency table, different measures of association can be fou …
2
votes
Accepted
Normal distribution and QQ plot
The normal distribution is a theoretical model of data. Empirical data can be distributed more similarily or more dissimilarly to a normal distribution.
That empirical data has a couple of notable di …
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Best practice and starting point for designing a decomposable score metric
That is commonly called an index, an accumulation of scores from a variety of individual items. Creating indexes is very common in economic and financial fields (e.g., Consumer Purchasing Index and St …
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Statistical inference on a very small datasets
There are two separate issues:
Sampling - Picking the optional ingredient level for next experiment to run. Given you have only have 4 explanatory variables, just plot them. Either all pairwise or …
1
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Accepted
Show distribution of users affected by outlier response times
One option would be look at conditional probability based on percentiles.
First, find percentiles based on all the data. For example, 99th percentile is 1432 milliseconds.
Then, find percent of a spec …
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Showing standard deviation for training curve
One option is to plot fewer epochs. There is no useful information after 20 epochs because training and validation performance are the same after that point.
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Suitable modelling approach to incorporate different signals
Combing multiple models together is called typically ensembling.
You are describing hierarchical ensembling. There are simpler methods for ensembling, such as voting and weighted voting.
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Accepted
What is the best way to cluster this kind of data?
In hierarchical clustering, both agglomerative and divisive, you do not have to pre-specify the number of clusters. You can create all possible clusters and then select the number cluster to use at th …